Oblique derivative problems for nonlinear elliptic systems with measurable coefficients  

作　　者：GuochunWEN ZuoliangXU 

机构地区：[1]EdpartmentofMathematics,PekingUniversity,Beijing100871,China [2]InstituteofComputationalMathematicsandScientific／EngineeringComputing,ChineseAcademyofSciences,Beijing100080,China

出　　处：《Communications in Nonlinear Science and Numerical Simulation》2001年第2期93-96,共4页非线性科学与数值模拟通讯（英文版）

摘　　要：An oblique derivative boundary value Problem for nonlinear nondivergent elliptic systems with measurable coefficients in a multiply connected domain is considered. Firstly, we give a priori estimates of solutions for the boundary value problem, and then by using the above estimates of solutions, and the Leray-Schauder theorem, the existence and uniqueness of solutions for the proposed problem are proved.An oblique derivative boundary value Problem for nonlinear nondivergent elliptic systems with measurable coefficients in a multiply connected domain is considered. Firstly, we give a priori estimates of solutions for the boundary value problem, and then by using the above estimates of solutions, and the Leray-Schauder theorem, the existence and uniqueness of solutions for the proposed problem are proved.

关 键 词：oblique derivative problems nonlinear elliptic systems multiply connected  domains 

分 类 号：O175.25[理学—数学]